Pith Number

pith:RXPRPSND

pith:2017:RXPRPSNDHCAXFGS2E345LRXYPG

not attested not anchored not stored refs pending

Random Manifolds have no Totally Geodesic Submanifolds

Frederick Wilhelm, Thomas Murphy

arxiv:1703.09240 v2 · 2017-03-27 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RXPRPSNDHCAXFGS2E345LRXYPG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:25:39.579989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ddf17c9a33881729a5a26f9d5c6f879add866268020ff494330744d9b547d7f

Aliases

arxiv: 1703.09240 · arxiv_version: 1703.09240v2 · doi: 10.48550/arxiv.1703.09240 · pith_short_12: RXPRPSNDHCAX · pith_short_16: RXPRPSNDHCAXFGS2 · pith_short_8: RXPRPSND

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/RXPRPSNDHCAXFGS2E345LRXYPG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8ddf17c9a33881729a5a26f9d5c6f879add866268020ff494330744d9b547d7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbb732db55ac481f11cb3b3ae477de2ac5f388b6f4fd66569b6fb9b8834291f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-03-27T18:01:04Z",
    "title_canon_sha256": "0231f42d6ae7d62b65efcca092ed7894c66f3883e9950120ae4c24fd14a56724"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09240",
    "kind": "arxiv",
    "version": 2
  }
}